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Finding the Fourth Proportional to 23,765.74, 35,641.41 and 9,911.50

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Solution

The fourth proportional to 23,765.74, 35,641.41 and 9,911.50 is: 14,864.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,765.74 : 35,641.41 = 9,911.50 : x
  2. Step 2: Convert to fraction form
    23,765.74/35,641.41 = 9,911.50/x
  3. Step 3: Cross multiply
    23,765.74x = 35,641.41 × 9,911.50
  4. Step 4: Simplify right side
    23,765.74x = 353,259,835.22
  5. Step 5: Solve for x
    x = 353,259,835.22/23,765.74
  6. Step 6: Final answer
    x = 14,864.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.